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Finding the Fourth Proportional to 153.50, 211.71 and 106.87

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Solution

The fourth proportional to 153.50, 211.71 and 106.87 is: 147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.50 : 211.71 = 106.87 : x
  2. Step 2: Convert to fraction form
    153.50/211.71 = 106.87/x
  3. Step 3: Cross multiply
    153.50x = 211.71 × 106.87
  4. Step 4: Simplify right side
    153.50x = 22,625.45
  5. Step 5: Solve for x
    x = 22,625.45/153.50
  6. Step 6: Final answer
    x = 147.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.